Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Hereditarily normal manifolds of dimension greater than one may all be metrizable
HTML articles powered by AMS MathViewer

by Alan Dow and Franklin D. Tall PDF
Trans. Amer. Math. Soc. 372 (2019), 6805-6851 Request permission

Abstract:

P. J. Nyikos has asked whether it is consistent that every hereditarily normal manifold of dimension greater than one is metrizable, and he proved that it is if one assumes the consistency of a supercompact cardinal, and, in addition, that the manifolds are hereditarily collectionwise Hausdorff. We are able to omit these extra assumptions.
References
Similar Articles
Additional Information
  • Alan Dow
  • Affiliation: Department of Mathematics and Statistics, University of North Carolina, Charlotte, North Carolina 28223
  • MR Author ID: 59480
  • Email: adow@uncc.edu
  • Franklin D. Tall
  • Affiliation: Department of Mathematics, University of Toronto, Toronto, Ontario M5S 2E4, Canada
  • MR Author ID: 170400
  • Email: f.tall@math.utoronto.ca
  • Received by editor(s): September 23, 2015
  • Received by editor(s) in revised form: August 2, 2016, February 20, 2017, and November 28, 2017
  • Published electronically: August 28, 2019
  • Additional Notes: The first author’s research was supported by NSF grant DMS-1501506
    The second author’s research was supported by NSERC grant A-7354
  • © Copyright 2019 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 372 (2019), 6805-6851
  • MSC (2010): Primary 54A35, 54D15, 54D45, 54E35, 03E05, 03E35, 03E65; Secondary 54D20, 03E55
  • DOI: https://doi.org/10.1090/tran/7916
  • MathSciNet review: 4024539